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Finding the Fourth Proportional to 6,264.99, 9,399.07 and 1,882.48

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Solution

The fourth proportional to 6,264.99, 9,399.07 and 1,882.48 is: 2,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.99 : 9,399.07 = 1,882.48 : x
  2. Step 2: Convert to fraction form
    6,264.99/9,399.07 = 1,882.48/x
  3. Step 3: Cross multiply
    6,264.99x = 9,399.07 × 1,882.48
  4. Step 4: Simplify right side
    6,264.99x = 17,693,561.29
  5. Step 5: Solve for x
    x = 17,693,561.29/6,264.99
  6. Step 6: Final answer
    x = 2,824.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.